If A abd Bare two sets, under what conditionsare A' and B' disjoint sets?

If A and B are independant sets, under what conditions are A' and B' are independant?

2. Originally Posted by linda97
If A abd Bare two sets, under what conditionsare A' and B' disjoint sets?

If A and B are independant sets, under what conditions are A' and B' are independant?
Let $C$ be the larger set where these two are contained in.

Now if $A\cup B \not = C$ then $\emptyset \not = (A\cup B)' = A' \cap B'$.
Thus, if we want $A' \cap B' = \emptyset$ it means $A\cup B = C$.